Question

A city lunch program for seniors received a grant of 1.925×106 dollars. Divide that figure by the cost of $2.75 per lunch to find out how many senior lunches the grant can provide. Write the answer in scientific notation.(1 point)
Responses

0.7×106
0.7 times 10 superscript 6 baseline

7×105
7 times 10 superscript 5 baseline

0.7×105
0.7 times 10 superscript 5 baseline

7×106

1 answer

To find out how many senior lunches the grant can provide, we will divide the total amount of the grant by the cost per lunch.

The grant amount is \( 1.925 \times 10^6 \) dollars, and the cost per lunch is $2.75.

Now, we can perform the division:

\[ \text{number of lunches} = \frac{1.925 \times 10^6}{2.75} \]

Calculating the division:

  1. Divide \( 1.925 \) by \( 2.75 \):

\[ 1.925 \div 2.75 \approx 0.700 \]

  1. Now, we keep the power of 10:

\[ 0.700 \times 10^6 \]

  1. To express this in proper scientific notation, we adjust it to:

\[ 7.00 \times 10^5 \]

However, since our options do not show \( 7.00 \times 10^5 \), the best option is represented as:

\[ 7 \times 10^5 \]

So, the final answer is:

7×10⁵